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Re: Slowness in bignum mode ( gmp | gawk -M ) when doubling extremely la


From: arnold
Subject: Re: Slowness in bignum mode ( gmp | gawk -M ) when doubling extremely large inputs
Date: Wed, 26 Jan 2022 23:42:07 -0700
User-agent: Heirloom mailx 12.5 7/5/10

Hello.

Thank you for taking the time to report an issue.

Please read the instructions for bug reporting at
https://www.gnu.org/software/gawk/manual/html_node/Bugs.html.
It was updated recently, please reread it if you haven't looked at
it in a long time.

I'm afraid that your "proof of concept" code is so unreadable that
I won't even try to determine what it's doing.

With respect to GMP performance, I suggest that you report an
issue directly to the GMP developers.  The gawk code that uses
GMP isn't going to change.  For this reason, I don't think you
need to bother redoing your example code, unless you want to send
it to the GMP developers.

Thanks,

Arnold

"Jason C. Kwan" via "Bug reports only for gawk." <bug-gawk@gnu.org> wrote:

> Hi GAWK team,
> Not sure if I should be reporting this to the gawk team or the GnuMP team - 
> it's neither a bug or nor new feature per se, but merely a performance one - 
> I've noticed on that for extremely large inputs, say, integers with more than 
> 5 million digits, the bignum gawk -M mode could be somewhat slow, with 
> possible room for speed improvement (proof-of-concept attached below). my 
> gawk version information : 
> GNU Awk 5.1.1, API: 3.1 (GNU MPFR 4.1.0, GNU MP 6.2.1)
> Darwin MacBook-Pro.local 21.2.0 Darwin Kernel Version 21.2.0: Sun Nov 28 
> 20:28:41 PST 2021; root:xnu-8019.61.5~1/RELEASE_ARM64_T6000 arm64
> On my test-case of 71.5 million digits, it's possible to to save 63.7% of 
> time , even in regular gawk, when compared to gawk -M  : 
> ==================
> gawk -be '{ print length($0) }' test.txt71591842
> test command ::
> echo; time ( pv -q < test.txt | LC_ALL=C gawkmx -b -e '{ print _2x_($0) }' ) 
> | xxh128sum ; echo; time (pv -q < test.txt | LC_ALL=C gawk -M -b -e '{ print 
> $0+$0 }' ) | xxh128sum ; echo
> a56c2d2302d9ea8751f810b848e6f354  stdin( pv -q < test.txt | LC_ALL=C LC_ALL=C 
> gawk -e "${mfx}" -b) 8.16s user 0.60s system 99% cpu 8.789 totalxxh128sum  
> 0.01s user 0.00s system 0% cpu 8.789 total
> a56c2d2302d9ea8751f810b848e6f354  stdin( pv -q < test.txt | LC_ALL=C gawk -M 
> -b -e ; )  23.26s user 0.96s system 99% cpu 24.240 totalxxh128sum  0.01s user 
> 0.00s system 0% cpu 24.239 total
> =====================
> In another test case of slightly over 275 milion digits, the time savings are 
> 71.7% : 
> fc2231bdff375b7870586d8dffc0841c  stdin( pv -q < jwengowengonoewgnwoegn.txt | 
> LC_ALL=C gawk -b -e "${mfx}" -e ; )  27.25s user 6.48s system 98% cpu 34.350 
> totalxxh128sum  0.04s user 0.02s system 0% cpu 34.349 total
> fc2231bdff375b7870586d8dffc0841c  stdin( pv -q < jwengowengonoewgnwoegn.txt | 
> LC_ALL=C gawk -M -b -e ; )  116.58s user 4.78s system 99% cpu 2:01.42 
> totalxxh128sum  0.04s user 0.02s system 0% cpu 2:01.42 total
> ====================
> Attached below is the full proof-of-concept code for function _2x_( ) to 
> demostrate that the time savings are very much concrete and possible, not 
> simply theoretical. The test file, being 70MB+, is a big large for email, but 
> basically any file using ASCII digits 0-9 to represent any integer over 5 
> million digits will do. The speed difference isn't noticeable for smaller 
> inputs, and for inputs fewer than 7 digits, most likely it would be slower 
> than gawk -M. 
> I tried maximizing portability of the proof-of-concept function by refraining 
> from any gawk-specific extensions of awk - this same code has also been 
> tested in mawk 1.3.4, mawk 1.9.9.6, and macos 12.1 awk/nawk. 
> It's entirely self-contained, performs no recursion, has no external 
> dependencies, no bit-wise ops, and doesn't include any advanced/fancy math - 
> just straight up grade-school long-form addition, doubling them 15-digits per 
> chunk, and 2 chunks per while loop. The carrying part is performed by gsub( ) 
> prior to the while( ) loop, and thus, eliminating the need to track them 
> along the way. Performance scales linearly at the log-base-10 level.
> ( I didn't include any copyright notice or credits to a priori since I don't 
> think grade school addition is something copyrightable) 
> Obviously this is simply awk scripting code and can't be directly 
> incorporated into the C code base - I'm merely raising awareness of the issue.
> Thanks for your time.
> Jason
> ===================================================================================
> ( I can reformat the code for readability if you prefer )  : 
> function _2x_(__,_,_______,____,_________,      
> ___________,__________,____________,              ________,_____,______,___) 
> {    if(__!~/[1-9]/) {        return +_ }    ___=(__~/^[-]/)    
> sub("^[+-]?["(-"")"]*","",__)    if (length(__)<(_____=((_+=++_)^_^_-!!_))+_) 
> {        if (_________^((_____+(_~____))^(_____-_)<+__)) {            return 
> (-!-"")^___*(+__+__)    } }    ___=substr("-",_~"",___)    if (__!~"[5-9]") { 
>        gsub(/4/,"8",__)-gsub(/3/,"6",__)        
> gsub(/2/,"4",__)-gsub(/1/,"2",__)        return (___)__    }; 
> _______=____=________="";    
> __=(_____=substr(________=(_++^_--+_)^_____,_))(__)    gsub(/./,".",_____)    
>      sub("("(_____)")+$","_&",__)    __=substr(__,index(__,"_")+!+"")    
> ________+=+________;_="";    if 
> ((gsub(_____,"&_",__)+gsub(/[_][5-9]/,".5&",__)*(+""))%2) {        
> _=(":")(________+__+__)        __=substr(__,index(__,"_")+!+"")    }    
> for(_____ in ______) { }    if (______[_____=split(__,______,/[_]/)]=="") {   
>      delete ______[_____--] };__=____~____;    __________=____________*=\    
> ____________=___________=_________=32;    while(__<_____) { 
> if(!--__________){        __________=____________;_______=(_______)_;_="";    
>     if(!--___________){        
> ___________=_________;____=(____)_______;_______="";        } }        
> _=(_)(":")(+______[__++]*2+________)\             
> (":")(+______[__++]*2+________) }    ____=(____)(_______)(_)\         
> (__==_____?(":")(________+2*______[_____]):"")    gsub(/[:]+[^:]/,"",____)    
>       sub(/^0*/,"",____); return (___)____ }



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